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Finding the Fourth Proportional to 1,062.39, 1,466.12 and 620.13

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Solution

The fourth proportional to 1,062.39, 1,466.12 and 620.13 is: 855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.39 : 1,466.12 = 620.13 : x
  2. Step 2: Convert to fraction form
    1,062.39/1,466.12 = 620.13/x
  3. Step 3: Cross multiply
    1,062.39x = 1,466.12 × 620.13
  4. Step 4: Simplify right side
    1,062.39x = 909,186.55
  5. Step 5: Solve for x
    x = 909,186.55/1,062.39
  6. Step 6: Final answer
    x = 855.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.